Euclidean totally definite quaternion fields over the rational field and over quadratic number fields
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
dc.contributor.author | CERRI, Jean-Paul | |
hal.structure.identifier | Ecole Polytechnique Fédérale de Lausanne [EPFL] | |
dc.contributor.author | CHAUBERT, Jérôme | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
dc.contributor.author | LEZOWSKI, Pierre | |
dc.date.accessioned | 2024-04-04T02:22:07Z | |
dc.date.available | 2024-04-04T02:22:07Z | |
dc.date.created | 2012-10-03 | |
dc.date.issued | 2013-01-31 | |
dc.identifier.issn | 1793-0421 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189628 | |
dc.description.abstractEn | In this article we study totally definite quaternion fields over the rational field and over quadratic number fields. We establish a complete list of all such fields which are Euclidean. Moreover, we prove that every field in this list is in fact norm-Euclidean. The proofs are both theoretical and algorithmic. | |
dc.language.iso | en | |
dc.publisher | World Scientific Publishing | |
dc.subject.en | Euclidean order | |
dc.subject.en | norm-Euclidean order. | |
dc.subject.en | norm-Euclidean order | |
dc.subject.en | Quaternion field | |
dc.subject.en | Euclidean algorithm | |
dc.title.en | Euclidean totally definite quaternion fields over the rational field and over quadratic number fields | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1142/S1793042112501540 | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
bordeaux.journal | International Journal of Number Theory | |
bordeaux.page | 653-673 | |
bordeaux.volume | 9 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 3 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00738164 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00738164v1 | |
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